【摘要】 研究了光滑紧致黎曼流形多尺度表示系统——小波双框架的构造和刻画。具体地,给定经典小波框架生成集和流形正交基,实现了流形平方可积空间中一列框架小波系统对双框架性质的刻画。更多还原

【Abstract】 This work investigates the construction and characterizations of multiscale representation systems,namely bi-framelets on a smooth and compact Riemannian manifold. Specifically,given classical framelet generating sets and an orthonomal basis on a manifold,characterizations of the bi-framelet of a sequence of framelet system pairs are provided for the space of square integrable functions on a manifold.更多还原